Numerical solutions of the reaction diffusion system by using exponential cubic B-spline collocation algorithms

Abstract

The solutions of the reaction-diffusion system are given by method of collocation based on the exponential B-splines. Thus the reaction-diffusion system turns into an iterative banded algebraic matrix equation. Solution of the matrix equation is carried out by way of Thomas algorithm. The present methods test on both linear and nonlinear problems. The results are documented to compare with some earlier studies by use of L∞ and relative error norm for problems respectively.